The value of variable x in the equation is x = -3y + 5/ 2
How to solve an equation for a variable?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Therefore, the equation 2x + 3y = 5 can be solved for x as follows:
We have to make x the subject of the formula in the equation.
Subject of the formula is the variable which is expressed in terms of other variables involved in the formula.
Hence,
2x + 3y = 5
subtract 3y from both sides of the equation
2x + 3y = 5
2x + 3y - 3y = 5 - 3y
2x = 5 - 3y
divide both sides by 2
Therefore,
x = 5 - 3y / 2
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A solution for this system will be
Answer:
Im really sorry but it's againts branly code to answer problems on tests or quizes and more sorry i really am.
Step-by-step explanation:
a bag contains four types of coins. The probability of drawing a penny, nickel and dime is shown below. What is the probability of drawing a single coin that has a value of at least $.10?
Using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific occurrence will take place.
Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Simply put, probability is the likelihood that something will occur.
When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes.
So, we have the chart:
Penny = 2/5 = 0.4
Nickel = 1/5 = 0.2
Dime = 1/4 = 0.25
Then, the probability of getting a value of at least $0.10
P(E) = 3/3
P(E) = 1
Therefore, using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
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(v-7)(v+5)(v-3)=0 solve the quadraticequation
A quadratic equation, or second-order polynomial equation with a single variable, has the form ax^2 + bx + c = 0. The solution to the given equation is v = 7, -5 and 3
Solving quadratic equations?The form ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given the quadratic expression below:
(v-7)(v+5)(v-3)=0
Required
The solution to the system of equation
Equate each expression to zero calculate the value of 'v' as shown:
v - 7 = 0
v = 0 + 7
v = 7
Also, v + 5 = 0
v = 0 - 5
v = -5
Similarly, v - 3 = 0
v = 0 + 3
v = 3
Hence the solution to the given equation is v = 7, -5 and 3
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Question
Find the equation of the line with slope – through the point (-4, -7).
Enter your answer in standard form Ax + By = C, where A, B, and C are integers.
Provide your answer below:
Can you please help me solve this
I need help finding an answer for these 2 questions
Answer:
Question 6
Which property are you using?Question 7
Which property are you using?Step-by-step explanation:
Question 6
AC and BD are the diagonals of the rectangle ABCD
The diagonals of a rectangle are equal
∴ BD= AC
Substituting for AC and BD in terms of their expressions in x:
4x + 5 = 3x + 12
4x-3x + 5 = 12 --> subtract 3x from both sides
x + 5 = 12
x = 12-5 = 7
Therefore BD = 4x + 5 = 4(7) + 5 =33
Question 7
In square BELF, ∠BSE is formed by the intersection of its two diagonals BL and EF
The diagonals of a square have the following properties
they are equalthey bisect each other they form 90° angles at intersectionWe will use the third property that at intersection the angles formed are of 90°. One of these 4 angles is ∠BSE
m∠BSE = 90°
But m∠BSE = 7x + 13
Equating the two:
7x + 13 = 90
7x = 90-13 = 77
x = 11
If anyone can help with any of these probability questions, I'll give more points and brainiest!! Idaho Jones regains consciousness and next to her are 4 blodegradable packing peanuts. 5 seconds later each peanut has split in half, and each half grows into a full-size peanut. This repeats in the next 5 seconds. She sees a door with a keypad. A sign next to it has a timer indicating 10 seconds have passed and says the code is the number of peanuts when the timer reaches 100. (After 10 secords there were 16 peanuts.) Idaho realizes she must escape before then or the peanuts could suffocate her. Show how she figures out the code to open the door, and write what the code is
A mans
Idaho gets out and closes the door behind her. She is in a room with one exit, and the lock requires a key. There's a table with a briefcase that is also locked. It has a three-digit combination. The first part of the combination is on a wheel with all 10 digits. The second wheel has only 5 digits, and the third has 3 digits. How many combinations are possible?
150
combinations
The briefcase holds a key and out Idaho goes. She is met by an enchanted skeleton that directs her to a wall where a shelf has room for 5 books. The 5 ancient books are on the floor. She puts them on the shelf, but nothing happens. She realizes they must be put in the correct order. How many attempts will Idaho need to make if she doesn't get it right until her last attempt
Answer: let me explain!
Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P
So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!
It’s 20!
So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)
So that answer would be 8x*twenty twos*
Which is…*drumroll please*
8,388,608
I even double checked!
And for the briefcase skeleton thing
She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!
Hope this helps :P
A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $60? Round to the nearest cent (hundredths place). *
Answer:
The answer is $2.52.
Step-by-step explanation:
56 x .045= $2.52
I’ll mark you brainliest .
It’s either B,C,or D
Answer:
I believe it may be C or D.
C and D are the exact same, but I don't think it is B, seeing as it is an absolute value function. If I'm wrong, please forgive me.
Step-by-step explanation:
Most of the cars the Green Pine Auto Dealership sells are minivans and sedans. In January, they sold 10 minivans and 20 sedans. In February, the dealership ran some promotions, and they sold 15 minivans and 25 sedans. During which month did the dealership sell a greater ratio of minivans to sedans?
Using the concept of ratio, the month of February had a better ratio in sales compared to January
What is RatioThe ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
This is the process of comparing two quantities against one another to determine their ratio against each other.
In the question given;
January = 10 minivans, 20 sedans
The ratio of minivans to sedan = 10 / 20 = 1/2
The ratio of minivans to sedan in January = 1/2
February = 15 minivans, 25 sedans
The ratio of minivans to sedans = 15/25 = 3/5
The month of February has the highest ratio
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What is another name for AB−→−? in mathe lie a graph
Answer:
Segment The line segment AB, or segment AB, (written as — AB ) consists of the endpoints A and B and all points on ⃖ ⃗ AB that are between A and B.
Hope this was able to help
Simplify: 5x3+3x2−(−x−6x2)+4x−x2
What is 3/5 divided by 3/4
3/5 *4/3
1/5*4/1=4/5
=.8
hope it helps
Jessica is shopping for a new Cadillac that will cost her $38,500.00. She went to
the bank and got a quote for 3.4% interest compounded annually for a 7 year loan.
The car dealership offered to do in house financing at a rate of 4.3% interest
compounded annually for 5 years. Between the bank and the car dealership, which
option would she pay the least amount of interest?
Answer:
Yeah
Step-by-step explanation:
jhjhhjhjh
Chris is shopping for his sister's birthday cake. He buys 8 bottles of sprinkles that cost $4 each,and 2 boxes of cabdles cost $5 each.How much does Chris spend total?
Chris is shopping for his sister's birthday cake. He buys 8 bottles of sprinkles that cost $4 each,and 2 boxes of cabdles cost $5 each.How much does Chris spend total?
we know that
1) He buys 8 bottles of sprinkles that cost $4 each
so
8*(4)=$32
2) 2 boxes of cabdles cost $5 each
so
2*(5)=$10
Adds
10+32=$42
the answer is Chris spend $42 in totalthe equation could be
(8*4)+(2*5)=$42A savings account is opened with an initial deposit of $425.00. Determine the account balance after 9 years if the account earns 2.7% simple interest annually.
$3,928.28
$1,457.75
$528.28
$103.28
For a savings account with an initial deposit of $425.00, the account balance after 9 years if the account earns 2.7% simple interest annually is
$528.28How to find the account balance after 9 yearsThe account balance is solved by adding the initial deposit to the simple interest.
The simple interest is solved using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $425.00
rate= 2.7%
time = 9 years
plugging in the values
Simple interest = Principal * time * rate / 100
Simple interest = 425 * 9 * 2.7 / 100
Simple interest = 10327.5 / 100
Simple interest = 103.275
The account balance
= initial deposit + simple interest
= 103.275 + 425
= $528.28
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If i have 40 liquid soaps, and 20 apples, and use 2 soaps to clean the apples, how many apples can i clean
You will able to clean all .
How?
For one Apple you use 2soapsFor 20 apples
\(\\ \sf\longmapsto 2(20)=40\)
You need 40 soaps .
Hence all apples can be cleaned.
Step-by-step explanation:
2 soaps are needed to clean 1 apple1 apple = 2 soaps
For 20 apples you will need20 apples = 2 ×20 soaps
= 40 soaps
Here, you had 40 liquid soaps and for cleaning 20 apples you need 40 soaps,
Therefore, all apples can be cleaned by using 40 soaps.
help please!
The graph shows two accounts with the same principal and annual interest rate. Use the graph to estimate the answer to each question.
About how much more compound interest than simple interest is earned after 35 years? Remember to show your work.
About how much more compound interest than simple interest is earned after 45 years?
Remember to show your work.
After 35 years the simple interest is $600 while the compound interest is $860, while after 45 years the simple interest is $700 while the compound interest is $1160
What is interest?
Interest is the amount of money made from investing a particular amount of time over a certain period of time. Interest can either be simple or compound.
From the graph given below:
After 35 years the simple interest is $600 while the compound interest is $860, while after 45 years the simple interest is $700 while the compound interest is $1160
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Convert y
3x2 + 6x – 5 to vertex form.
Answer:
y = 3(x + 1)^2 - 8Step-by-step explanation:
Given
y = 3x^2 + 6x – 5Converting to vertex form
y = a(x – h)^2 + ky = 3x^2 + 6x + 3 - 8y = 3(x + 1)^2 - 8Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
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If you drew a line segment from the point when Kiley’s plane took off to the point when she got off the plane, at which point would the line segment end?
690
Step-by-step explanation:
For each day one shool week, mr. Carreon gives his students a quiz in either math, science or history. How many different combinations of quizzes are possible for the week?.
Mr. Carreon can give his students 243 different combinations of quizzes for a one-school week if he chooses to give a quiz in either math, science or history each day.
To find the number of different combinations of quizzes that Mr. Carreon can give his students for a one-school week, we can use the concept of permutations and combinations.
Since there are three subjects (math, science, and history) and Mr. Carreon can give a quiz in any of these subjects on each day of the week, the number of different combinations of quizzes for the week is given by the product of the number of choices for each day. That is,
Number of combinations = Number of choices on Monday * Number of choices on Tuesday * ... * Number of choices on Friday
Since there are 3 subjects to choose from for each day, the number of choices for each day is 3. Therefore, the number of different combinations of quizzes for the week is:
Number of combinations = 3 * 3 * 3 * 3 * 3 = 3^5 = 243
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 48 ounces and a standard deviation of 3 ounces. Use the 68-95-99.7 Rule and a sketch of the normal distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 39 and 54 ounces? % c) What percentage of the widget weights lie above 45 ?
After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.
a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:
48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.
b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.
39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.
54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.
Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.
Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:
100% - 0.15% - 2.5% = 97.35%
c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:
100% - 99.7% = 0.3%.
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If ll m, find the value of each missing variable(s) .
Answer:
1. m=5
2. 2(8x+11)
3.m=7
Step-by-step explanation:
NEED ANWSER ASAP PLS
a horizontal translation only
a horizontal translation and a 180° rotation
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
Here, we have,
the conditions for mapping the strip transformation pattern onto itself:
The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.
The second way is to reflect the strip pattern across a vertical line.
Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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complete question:
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
It would take Jack $4$ hours to mow the lawn if he works alone. Fortunately, after he mows for $2$ hours, Jill joins him. They finish mowing $90$ minutes later. How many minutes would it have taken for Jill to mow the entire lawn alone? Enter your answer as a number without units.
Answer:
12 hours
Step-by-step explanation:
In 1 hour jack mows 1/4 of the lawn
Together they mow half a lawn in 1.5 hours
Which is a whole lawn in 3 hours
in one hour together they mow 1/3 of the lawn
It takes Jill x hours to mow the lawn
in one hour Jill mows 1/x of the lawn
Working together in one hour
jack + jill = together
1/4 + 1/x = 1/3
1/x = 1/3 - 1/4
1/x = 4/12 - 3/12
1/x = 1/12
Cross multiply
12 = x
It takes Jill 12 hours to mow the lawn
The number of minutes that it would have taken for Jill to mow the entire lawn alone is 12 hours or 720 minutes.
From the information given, it will takes Jill x hours to mow the lawn. Therefore, in one hour Jill mows 1/x of the lawn
Therefore, the equation to solve the question will be:
1/4 + 1/x = 1/3
1/x = 1/3 - 1/4
1/x = 4/12 - 3/12
1/x = 1/12
Cross multiply
x = 12
Therefore, it takes Jill 12 hours to mow the lawn.
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Allowing 20% discount on the marked price if a watch, the value of the watch will be Rs. 2376. If the VAT of 10% is added, find its marked price.
Ans: Rs. 2700
original price be x
x-0.2x=23760.8x=2376x=2970VAT 10%
So new price is 10% less
2970-0.10(2970)2970-297Rs 2673≈2700Question 3
1 pts
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of
each color does he have?
Answer:
36 individual white socks
38 individual black socks
Step-by-step explanation:
Pairs of socks = 74
He has 1 more pair of white socks than black socks.
Take the colors of the socks to be white and black
Let
Black pairs of socks = x
White pairs of socks = x + 1
Individual socks of each color
A pair of white socks = 2 Individual white socks
= 2white
A pair of black socks = 2 individual black socks
= 2black
Total pairs of socks = black pairs of socks + white pairs of socks
74 = 2white + 2black
74 = 2(x) + 2(x +1)
74 = 2x + 2x + 2
74 = 4x + 2
Subtract 2 from both sides
74 - 2 = 4x
72 = 4x
Divide both sides by 4
x = 72/4
= 18
x = 18
Pairs of white socks = x = 18
A pair of white socks = 2whites
= 2(18)
= 36 individual white socks
Pairs of black socks = x + 1
= 18 + 1
= 19 pairs
A pair of black socks = 2black
= 2(19)
= 38 individual black socks
Find the x and y intercepts of the equation.
10) -2x + 4y = 12
Answer: x=2y−6
Step-by-step explanation: Hope this help :D
8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate
In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.
The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.
What is a questionnaire?A questionnaire is a research tool used to collect data by presenting a series of questions to respondents,typically in a written format.
Questionnaires are an important research tool as they allow researchers to gather large amounts of data from a large number of participants in a standardized and efficient manner.
They provide a structured approach to collecting information,allowing for easy analysis and comparison of responses.
Questionnaires can be used in various research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.
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*) Which of the following numbers is 90 divisible by?